Home / 205,655-306,786

Finding the Third Proportional to 205,655 and 306,786

Calculator

Solution

The third proportional to 205,655 and 306,786 is: 457,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,655 : 306,786 = 306,786 : x
  2. Step 2: Convert to fraction form
    205,655/306,786 = 306,786/x
  3. Step 3: Cross multiply
    205,655x = 306,786 × 306,786
  4. Step 4: Simplify right side
    205,655x = 94,117,649,796
  5. Step 5: Solve for x
    x = 94,117,649,796/205,655
  6. Step 6: Final answer
    x = 457,648.24

Related Problems

Find third proportional to 102,827.50 and 153,393
Half scale
Find third proportional to 411,310 and 613,572
Double scale
Find third proportional to 205,657 and 306,789
Similar ratio
Find third proportional to 308,482.50 and 460,179
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.